Information on Result #936927
Linear OOA(8180, 176, F81, 2, 68) (dual of [(176, 2), 272, 69]-NRT-code), using construction X applied to AG(2;F,273P) ⊂ AG(2;F,279P) based on
- linear OOA(8175, 171, F81, 2, 68) (dual of [(171, 2), 267, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,273P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8169, 171, F81, 2, 62) (dual of [(171, 2), 273, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,279P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(815, 5, F81, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;157,81) [i]
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(27107, 176, S27, 2, 68) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(8180, 88, F81, 3, 68) (dual of [(88, 3), 184, 69]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8180, 88, F81, 4, 68) (dual of [(88, 4), 272, 69]-NRT-code) | [i] | ||